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Finding the Fourth Proportional to 94,547.80, 141,829.80 and 31,354.30

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Solution

The fourth proportional to 94,547.80, 141,829.80 and 31,354.30 is: 47,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,547.80 : 141,829.80 = 31,354.30 : x
  2. Step 2: Convert to fraction form
    94,547.80/141,829.80 = 31,354.30/x
  3. Step 3: Cross multiply
    94,547.80x = 141,829.80 × 31,354.30
  4. Step 4: Simplify right side
    94,547.80x = 4,446,974,098.14
  5. Step 5: Solve for x
    x = 4,446,974,098.14/94,547.80
  6. Step 6: Final answer
    x = 47,034.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.